Apidays New York 2024 - APIs in 2030: The Risk of Technological Sleepwalk by ...
Helping Students to Learn Matehmatics Beyond LMS
1. Helping Students to Learn Mathematics Beyond LMS Martin Homik Sakai Conference 2006, Vancouver Saarland University, Saarbrücken German Research Center for Artificial Intelligence, DFKI GmbH www. .org
36. Content Projects de 50 students, 200 pages HTW Saarland Statistics 100 pages 70 students 50 pages 100 exercises 20 students 300 pages 30 pages 50 pages (exc) 250 students 100 pages ) 3x50 students 150 students… 450 pages LeActiveMath Calculus Universität Augsburg University of Glasgow de, en, es Optimization, Operations Research Mary State University ru, en 1st year Calculus U. Westminster, London en Algebra Interactive! TU/Eindhoven, DFKI en Analysis Individuell Uni Koblenz Uni Saarland de Matheführerschein FH Dortmund 3 schools de Fractions Gesamtschule Bellevue de
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39. Knowledge Representation D S E X P T S S S isA D D T X E Definition E Symbol Example Theorem Proof Exercise X for for for for for D D for counter P for S S for depends on depends on Abstract Layer Content Layer Satellite Layer
41. Example OMDoc <definition id="def_diff" for="deriv_symbols/diff"> <metadata> <Title xml:lang="en">Definition of the derivative, resp., differential quotient</Title> <Title xml:lang="de">Definition der Ableitung bzw. des Differentialquotienten</Title> <extradata>…</extradata> </metadata> <CMP xml:lang="en"> A <textref xref="functions_symbols/function">function</textref> $f$ is called <highlight type="important">differentiable at $x_0$</highlight> … </CMP> <CMP xml:lang="de"> Eine <textref xref="functions_symbols/function">Funktion</textref> $f$ heißt <highlight type="important">differenzierbar an der Stelle $x_0$</highlight> … </CMP> <CMP xml:lang="x-all"> $ap(diff(f),x_0)=lim(x_0,both_sides,lambda(x,(ap(f,x)-ap(f,x_0))/(x-x_0)))$. </CMP> </definition>